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variants of this functions
Hypergeometric2F1






Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Specific values > For rational parameters with denominators 8 and fixed z and a<0 > For fixed z and a=-33/8, b>=a > For fixed z and a=-33/8, b=43/8





http://functions.wolfram.com/07.23.03.beks.01









  


  










Input Form





Hypergeometric2F1[-(33/8), 43/8, -(1/4), z] == (18354 (1 + Sqrt[1 - z]) + 9177 (174 + 175 Sqrt[1 - z]) z - 36 (713569 + 617096 Sqrt[1 - z]) z^2 + 256 (449383 + 304889 Sqrt[1 - z]) z^3 - 66560 (3261 + 1516 Sqrt[1 - z]) z^4 + 2555904 (72 + 17 Sqrt[1 - z]) z^5 - 57933824 z^6)/(18354 2^(1/4) (1 + Sqrt[1 - z])^(3/4) (1 - z)^(3/2))










Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02